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math.SG2026
Topics in Magnetic Geometry: Interpolation, Intersections and Integrability
Lina Deschamps, Levin Maier, Tom Stalljohann
This paper develops new links between contact geometry, magnetic dynamics, and symmetry in exact magnetic systems. First, we establish an interpolation property for Killing magneti…
math.SG2026
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
math.SG2025
Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces
Johanna Bimmermann, Levin Maier
We compute the Hofer-Zehnder capacity of disk tangent bundles of certain lens spaces with respect to the round metric. Interestingly we find that the Hofer-Zehnder capacity does no…